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Finding the Fourth Proportional to 5,509.75, 8,264.67 and 2,047

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Solution

The fourth proportional to 5,509.75, 8,264.67 and 2,047 is: 3,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.75 : 8,264.67 = 2,047 : x
  2. Step 2: Convert to fraction form
    5,509.75/8,264.67 = 2,047/x
  3. Step 3: Cross multiply
    5,509.75x = 8,264.67 × 2,047
  4. Step 4: Simplify right side
    5,509.75x = 16,917,779.49
  5. Step 5: Solve for x
    x = 16,917,779.49/5,509.75
  6. Step 6: Final answer
    x = 3,070.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.